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Finding the Fourth Proportional to 7,615.74, 11,408.22 and 5,964.42

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Solution

The fourth proportional to 7,615.74, 11,408.22 and 5,964.42 is: 8,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.74 : 11,408.22 = 5,964.42 : x
  2. Step 2: Convert to fraction form
    7,615.74/11,408.22 = 5,964.42/x
  3. Step 3: Cross multiply
    7,615.74x = 11,408.22 × 5,964.42
  4. Step 4: Simplify right side
    7,615.74x = 68,043,415.53
  5. Step 5: Solve for x
    x = 68,043,415.53/7,615.74
  6. Step 6: Final answer
    x = 8,934.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.